Question

The cost of $7\frac{2}{3}$ metres of rope is Rs $12\frac{3}{4}.$ Find its cost per metre.

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{cost}\mathrm{of}7\frac{2}{3}\mathrm{metres}\mathrm{of}\mathrm{rope}\mathrm{is}\mathrm{Rs}12\frac{3}{4}. \\ \therefore C\mathrm{ost}\mathrm{per}\mathrm{metre}=12\frac{3}{4}÷7\frac{2}{3} \\ =\frac{51}{4}÷\frac{23}{3} \\ =\frac{51}{4}\times \frac{3}{23} \\ =\frac{153}{92} \\ =\mathrm{Rs}1\frac{61}{92} \end{gathered}$$